Timeline for Compact embedding of Lipschitz continuous functions
Current License: CC BY-SA 4.0
7 events
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| Nov 30, 2021 at 21:26 | comment | added | Delio Mugnolo | @PiotrHajlasz So, the different definitions of Sobolev spaces on m-m-s are diverging? In this case, I'd probably pick what works best in this context. | |
| Nov 30, 2021 at 21:25 | comment | added | Delio Mugnolo | @PiotrHajlasz Yes, this would be my most immediate interest. In the case of finite graphs, Sobolev spaces are defined in a pretty canonical way. Infinite graphs and fractals would be the next step, I guess. | |
| Nov 30, 2021 at 17:28 | comment | added | Piotr Hajlasz | I know that you did some work in analysis on graphs. Are you interested in Sobolev embeddings on graphs? | |
| Nov 30, 2021 at 17:24 | comment | added | Piotr Hajlasz | There are several definitions of Sobolev spaces on metric-measure spaces. Which one are you using? There are many results about compactness of the embedding, but until I know more about what $W^{1,2}$ is, I cannot answer the question. | |
| Nov 30, 2021 at 17:23 | history | edited | Delio Mugnolo | CC BY-SA 4.0 |
I have removed the question about Hilbert-Schmidt property, which it possibly ill-posed in this context.
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| Nov 30, 2021 at 17:21 | history | edited | YCor | CC BY-SA 4.0 |
formatting, changed tag
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| Nov 30, 2021 at 16:19 | history | asked | Delio Mugnolo | CC BY-SA 4.0 |